Christiaan Huygens was the first person to discover the general formula for the center of oscillation length of a physical pendulum. He was motivated to do this work by his interest in constructing accurate pendulum clocks. It is remarkable that Huygens arrived at his brilliant solution about a quarter of a century before the publication of the first edition of Newton's Principia. This paper analyzes Huygens' little-known derivation in detail. We take particular note of Huygens' ingenious idea of having the moving physical pendulum ``theoretically explode'' into constituent pieces which then rise until their kinetic energy is exhausted.